##### Asked by: Sherill Jabbouri

asked in category: General Last Updated: 11th February, 2020# How do you sketch the graph of a function?

**Steps for Sketching the Graph of the Function**

- Determine, whether
**function**is obtained by transforming a simpler**function**, and perform necessary steps for this simpler**function**. - Determine, whether
**function**is even, odd or periodic. - Find y-intercept (point ).
- Find x-intercepts (points where ).
- Find what asymptotes does
**function**have, if any.

Likewise, how do you graph different functions?

**Here are some of the most commonly used functions, and their graphs:**

- Linear Function: f(x) = mx + b.
- Square Function: f(x) = x
^{2} - Cube Function: f(x) = x
^{3} - Square Root Function: f(x) = √x.
- Absolute Value Function: f(x) = |x|
- Reciprocal Function. f(x) = 1/x.

Subsequently, question is, how do you graph a limit that does not exist? **Here are the rules:**

- If the graph has a gap at the x value c, then the two-sided limit at that point will not exist.
- If the graph has a vertical asymptote and one side of the asymptote goes toward infinity and the other goes toward negative infinity, then the limit does not exist.

Secondly, how do you graph restrictions?

To limit the domain or range (x or y values of a **graph**), you can add the **restriction** to the end of your equation in curly brackets {}. For example, y=2x{1<x<3} would **graph** the line y=2x for x values between 1 and 3. You can also use **restrictions** on the range of a function and any defined parameter.

How do you solve limits?

**Find the limit by finding the lowest common denominator**

- Find the LCD of the fractions on the top.
- Distribute the numerators on the top.
- Add or subtract the numerators and then cancel terms.
- Use the rules for fractions to simplify further.
- Substitute the limit value into this function and simplify.